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Summary

In this revision of his best-selling text, Soo Tan builds on the features that have made his texts best-sellers: a problem-solving approach, accurate mathematical development, a concise yet accessible writing style, and a wealth of interesting and appropriate applications. These features are combined with practical pedagogical tools to help students understand and comprehend the material. Tan also now includes innovative use of technology that is optional yet well integrated throughout the book.

Table of Contents

Preliminaries

2

(56)

Precalculus Review I

4

(10)

Precalculus Review II

14

(14)

The Cartesian Coordinate System

28

(9)

Straight Lines

37

(21)

Summary of Principal Formulas and Terms

55

(1)

Review Exercises

56

(2)

Functions, Limits, and the Derivative

58

(124)

Functions and Their Graphs

60

(21)

Using Technology: Graphing a Function

76

(5)

The Algebra of Functions

81

(9)

Portfolio: Michael Marchlik

86

(4)

Functions and Mathematical Models

90

(20)

Using Technology: Finding the Points of Intersection of Two Graphs and Modeling

104

(6)

Limits

110

(25)

Using Technology: Finding the Limit of a Function

130

(5)

One-Sided Limits and Continuity

135

(20)

Using Technology: Finding the Points of Discontinuity of a Function

150

(5)

The Derivative

155

(27)

Using Technology: Graphing a Function and Its Tangent Lines

176

(3)

Summary of Principal Formulas and Terms

179

(1)

Review Exercises

179

(3)

Differentiation

182

(94)

Basic Rules of Differentiation

184

(14)

Using Technology: Finding the Rate of Change of a Function

192

(6)

The Product and Quotient Rules

198

(13)

Using Technology: The Product and Quotient Rules

208

(3)

The Chain Rule

211

(13)

Using Technology: Finding the Derivative of a Composite Function

218

(6)

Marginal Functions in Economics

224

(16)

Higher-Order Derivatives

240

(9)

Using Technology: Finding the Second Derivative of a Function at a Given Point